Finding the Third Proportional to 69.75 and 100.41

Step by Step Solution

1. Step 1: Write the proportion equation
   69.75 : 100.41 = 100.41 : x
2. Step 2: Convert to fraction form
   69.75/100.41 = 100.41/x
3. Step 3: Cross multiply
   69.75x = 100.41 × 100.41
4. Step 4: Simplify right side
   69.75x = 10,081.42
5. Step 5: Solve for x
   x = 10,081.42/69.75
6. Step 6: Final answer
   x = 144.54